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Sum of adjacent angles on a straight line is 180°
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∠ABD + ∠CBD = 180°
(2x + 7) + (5x - 2) = 180
2x + 7 + 5x - 2 = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25
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Answer: x = 25
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